Question

Moment of inertia of a uniform circular disc about a diameter is I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be.

Answer 1

Explanation:

We know, moment of inertia of a uniform circular disc of mass M and radius R about an axis passing through centre is given by,

from perpendicular axis theorem,

moment of inertia of disc about a diameter ,

a/c to question, it is given that, moment of inertia of disc about a diameter is I

then,

so, ........(1)

now, we have to find moment of inertia about an axis perpendicular to its plane and passing through a point on its rim.

use parallel axis theorem,

so,

hence, option (c) is correct.